Andrew M. answered • 04/01/16

Tutor

New to Wyzant
Mathematics - Algebra a Specialty / F.I.T. Grad - B.S. w/Honors

Let y = # Yummies

Let d = # delishes

We can set up 2 equations from the information given:

1) y + d = 140 Joey bought 140 pieces of candy

The cost will be $.75(y) + $.5d

This will total to $85 giving us:

2) .75y + .5d = 85

From equation 1 we can solve for y or d

y+d = 140

y = 140-d

Replace y with 140-d in equation 2 and solve for d

.75(140-d) + .5d = 85

Distribute the .75 through the parenthesis

.75(140) + .75(-d) + .5d = 85

105 - .75d + .5d = 85

105 - .25d = 85

subtract the 105 from both sides to isolate the variable d

105 - .25d - 105 = 85 - 105

-.25d = -20

Divide both sides by -.25 to isolate a single d

-.25d/-.25 = -20/-.25

d = 80

**Joey bought 80 delishes**

**We know the total # candies bought was 140 so**

**Joey bought 60 yummies**

Check answer:

.75y + .5d = 85

.75(60) + .5(80) = 85

45 + 40 = 85

85 = 85

Our answer fits the information given.

Let me know if you have any questions.

Good luck. Cheers.

Andrew